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Least Common Multiple (LCM) of 194 and 40

The least common multiple (LCM) of 194 and 40 is 3880.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 194 and 40?

First, calculate the GCD of 194 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 40 = 4 remainder 34
2 40 ÷ 34 = 1 remainder 6
3 34 ÷ 6 = 5 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
47 and 1939071
28 and 812268
191 and 8215662
191 and 10620246
83 and 1068798

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